Answer: Choice C (empty set)
The first thing to do is subtract 7 from both sides
|x| + 7 < 4
|x| + 7 - 7 < 4 - 7
|x| < -3
Recall that absolute value represents distance on a number line. Saying |x| is less than -3 means the distance is smaller than -3, which is impossible. Anything smaller than -3 is also negative. Distance can never be negative.
That leads us to the empty set as the solution. There are no values we can plug into any of the inequalities above, to have them lead to true statements.
Writing the special symbol
is one way to represent the empty set. Another way is to write curly braces only with nothing inside them like so: { }, so its a set with nothing inside it more or less.
5x + 3 = 3x + 11
• first put all the x-values on one side and the rest on the other
Remember: when the number moves to the other side of the equal sign the sign (+ OR - switches. For ex: the 3 on the left becomes negative when moved to the right side of the equal sign)
5x - 3x = 11 - 3
• subtract left and right sides separately
2x = 8
• divide both sides by 2 to solve for x
2x/2 = 8/2
x = 4 (final answer)
AB is congruent to AC that is ur Answer
Answer:
8.6 cm
Step-by-step explanation:
V=pi r-squared h
diameter of 10 means radius of 5
675.1=3.14x5x5xh
675.1=78.5h
8.6
Answer:
12 Blue Marbles
Step-by-step explanation:
30 times 0.40 is 12.